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Finding the Fourth Proportional to 261,919.44, 361,439.16 and 160,115.40

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Solution

The fourth proportional to 261,919.44, 361,439.16 and 160,115.40 is: 220,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,919.44 : 361,439.16 = 160,115.40 : x
  2. Step 2: Convert to fraction form
    261,919.44/361,439.16 = 160,115.40/x
  3. Step 3: Cross multiply
    261,919.44x = 361,439.16 × 160,115.40
  4. Step 4: Simplify right side
    261,919.44x = 57,871,975,679.06
  5. Step 5: Solve for x
    x = 57,871,975,679.06/261,919.44
  6. Step 6: Final answer
    x = 220,953.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.